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gptkbp:instanceOf
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gptkb:organization
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gptkbp:alsoKnownAs
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gptkb:double_exponential_distribution
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gptkbp:application
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Bayesian inference
robust statistics
Laplacian noise modeling
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gptkbp:characteristic
|
(1-b^2 t^2)^(-1)
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gptkbp:cumulativeDistributionFunction
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0.5 * exp((x-μ)/b) for x<μ, 1-0.5*exp(-(x-μ)/b) for x≥μ
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gptkbp:entropy
|
1 + ln(2b)
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gptkbp:firstPublished
|
1774
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gptkbp:hasSpecialCase
|
generalized error distribution
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|
https://www.w3.org/2000/01/rdf-schema#label
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Laplace distribution
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gptkbp:kurtosis
|
3
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gptkbp:limitCaseOf
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gptkb:gamma_distribution
|
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gptkbp:meaning
|
location parameter (μ)
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gptkbp:medium
|
location parameter (μ)
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gptkbp:mode
|
location parameter (μ)
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gptkbp:momentGeneratingFunction
|
(1-b^2 t^2)^(-1) for |t|<1/b
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gptkbp:namedAfter
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gptkb:Pierre-Simon_Laplace
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gptkbp:parameter
|
location parameter
scale parameter
|
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gptkbp:probabilityDensityFunction
|
(1/(2b)) * exp(-|x-μ|/b)
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gptkbp:relatedTo
|
gptkb:normal_distribution
gptkb:Cauchy_distribution
gptkb:exponential_distribution
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gptkbp:skewness
|
0
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gptkbp:supports
|
real numbers
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gptkbp:symmetry
|
symmetric about location parameter
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gptkbp:type
|
continuous probability distribution
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gptkbp:usedIn
|
gptkb:machine_learning
gptkb:signal_processing
econometrics
statistical modeling
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gptkbp:variant
|
2b^2 (where b is scale parameter)
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gptkbp:bfsParent
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gptkb:location-scale_family
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gptkbp:bfsLayer
|
5
|